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Finding the Fourth Proportional to 437,692.32, 656,595.90 and 171,418.23

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Solution

The fourth proportional to 437,692.32, 656,595.90 and 171,418.23 is: 257,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,692.32 : 656,595.90 = 171,418.23 : x
  2. Step 2: Convert to fraction form
    437,692.32/656,595.90 = 171,418.23/x
  3. Step 3: Cross multiply
    437,692.32x = 656,595.90 × 171,418.23
  4. Step 4: Simplify right side
    437,692.32x = 112,552,507,003.26
  5. Step 5: Solve for x
    x = 112,552,507,003.26/437,692.32
  6. Step 6: Final answer
    x = 257,149.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.